Sanskruti Index of some Chemical Trees and Unicyclic Graphs

Abstract

In chemical graph theory, topological indices are used to estimate the bio-activity of chemical compounds. The molecular graph models molecular compounds. A molecular graph represents the structural formula of a chemical compound relative to the graph. Its vertices represent the atoms of the compound, and its edges represent the chemical bonds. In 2017, Hosamani introduced the Sanskruti index S(G) and defined it as S(G) = Σuv∈E(G) ((δu ⋅ δv)/(δu + δv − 2))3, where δu is the sum of the degrees of all neighbors of the vertex u in G. The Sanskruti index displays a good connection with an entropy of octane isomers. In this paper, the Sanskruti index S(G) is computed for some chemical trees and unicyclic graphs.